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Construction of Block Orthogonal STBCs and Reducing Their Sphere Decoding Complexity

Jithamithra, GR and Rajan, Sundar B (2013) Construction of Block Orthogonal STBCs and Reducing Their Sphere Decoding Complexity. In: 2013 IEEE WIRELESS COMMUNICATIONS AND NETWORKING CONFERENCE (WCNC) , APR 07-10, 2013 , Shanghai, , pp. 2649-2654.

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Official URL: http://arxiv.org/abs/1210.3449


Construction of high rate Space Time Block Codes (STBCs) with low decoding complexity has been studied widely using techniques such as sphere decoding and non Maximum-Likelihood (ML) decoders such as the QR decomposition decoder with M paths (QRDM decoder). Recently Ren et al., presented a new class of STBCs known as the block orthogonal STBCs (BOSTBCs), which could be exploited by the QRDM decoders to achieve significant decoding complexity reduction without performance loss. The block orthogonal property of the codes constructed was however only shown via simulations. In this paper, we give analytical proofs for the block orthogonal structure of various existing codes in literature including the codes constructed in the paper by Ren et al. We show that codes formed as the sum of Clifford Unitary Weight Designs (CUWDs) or Coordinate Interleaved Orthogonal Designs (CIODs) exhibit block orthogonal structure. We also provide new construction of block orthogonal codes from Cyclic Division Algebras (CDAs) and Crossed-Product Algebras (CPAs). In addition, we show how the block orthogonal property of the STBCs can be exploited to reduce the decoding complexity of a sphere decoder using a depth first search approach. Simulation results of the decoding complexity show a 30% reduction in the number of floating point operations (FLOPS) of BOSTBCs as compared to STBCs without the block orthogonal structure.

Item Type: Conference Proceedings
Publisher: IEEE
Additional Information: copyright for this article belongs to IEEE,USA
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 02 Jan 2014 10:43
Last Modified: 02 Jan 2014 10:47
URI: http://eprints.iisc.ac.in/id/eprint/47996

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